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Finding the Fourth Proportional to 176.06, 242.24 and 152.66

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Solution

The fourth proportional to 176.06, 242.24 and 152.66 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 242.24 = 152.66 : x
  2. Step 2: Convert to fraction form
    176.06/242.24 = 152.66/x
  3. Step 3: Cross multiply
    176.06x = 242.24 × 152.66
  4. Step 4: Simplify right side
    176.06x = 36,980.20
  5. Step 5: Solve for x
    x = 36,980.20/176.06
  6. Step 6: Final answer
    x = 210.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.